Compare 9/35 and 28/63
9/35 is smaller than 28/63
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 63 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 35 × 9 = 315,
9/35 = 9 × 9/35 × 9 = 81/315 - Likewise, for the 2nd fraction, since 63 × 5 = 315,
28/63 = 28 × 5/63 × 5 = 140/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 81/315 < 140/315 or 9/35 < 28/63
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